Search a number
-
+
54088704 = 210325869
BaseRepresentation
bin1100111001010…
…1010000000000
310202202222202100
43032111100000
5102321314304
65211150400
71224514005
oct316252000
9122688670
1054088704
112859370a
1216145400
13b28a467
14727d8ac
154b36439
hex3395400

54088704 has 66 divisors (see below), whose sum is σ = 156206570. Its totient is φ = 18026496.

The previous prime is 54088703. The next prime is 54088733. The reversal of 54088704 is 40788045.

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 18662400 = 5952^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6282 + ... + 12150.

Almost surely, 254088704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78103285).

54088704 is an abundant number, since it is smaller than the sum of its proper divisors (102117866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54088704 is a wasteful number, since it uses less digits than its factorization.

54088704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54088704 is about 7354.5022945132. The cubic root of 54088704 is about 378.1831647791.

The spelling of 54088704 in words is "fifty-four million, eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5869 9216 11738 17607 23476 35214 46952 52821 70428 93904 105642 140856 187808 211284 281712 375616 422568 563424 751232 845136 1126848 1502464 1690272 2253696 3004928 3380544 4507392 6009856 6761088 9014784 13522176 18029568 27044352 54088704